The elimination of θ from x cosθ-y sinθ=2 and x sinθ + ycosθ = 4 will give

If cos(2θ+54°) = sinθ, 0°<(2θ-54°)<90°, then what is the value of $$1\over tan5θ+cosec{5θ\over 2}$$   

In ∆PQR, ∠Q=90°. If cot $$R={1\over 3}$$, then what is the value of $${secP(cosR+sinP)\over cosec \ R(sinR-cosecP)} $$?

$$\left({1\over cosecθ}-{1\over sinθ} \right)+{1\over {cosecθ-cotθ}} -{1\over secθ+tanθ} =?$$

if $$ sinA= {4\over 5}$$, then what is the value of $$sin^2A$$

What is the value of cosecA(1 − cosA)(cosecA + cotA)?

If sin²θ - 3sinθ + 2=0, the find the value of θ(0⁰≤ θ≤90⁰)

Find the exact value of cos 120⁰.